export const Factorials = [
  1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600,
  6227020800, 87178291200, 1307674368000, 20922789888000, 355687428096000,
  6402373705728000, 121645100408832000, 2432902008176640000,
  51090942171709440000, 1124000727777607680000, 25852016738884976640000,
  620448401733239439360000, 15511210043330985984000000,
  403291461126605635584000000, 10888869450418352160768000000,
  304888344611713860501504000000, 8841761993739701954543616000000,
  265252859812191058636308480000000, 8222838654177922817725562880000000,
  263130836933693530167218012160000000, 8683317618811886495518194401280000000,
  295232799039604140847618609643520000000,
  10333147966386144929666651337523200000000,
  371993326789901217467999448150835200000000,
  13763753091226345046315979581580902400000000,
  523022617466601111760007224100074291200000000,
  20397882081197443358640281739902897356800000000,
  815915283247897734345611269596115894272000000000,
  33452526613163807108170062053440751665152000000000,
  1405006117752879898543142606244511569936384000000000,
  60415263063373835637355132068513997507264512000000000,
  2658271574788448768043625811014615890319638528000000000,
  119622220865480194561963161495657715064383733760000000000,
  5502622159812088949850305428800254892961651752960000000000,
  258623241511168180642964355153611979969197632389120000000000,
  12413915592536072670862289047373375038521486354677760000000000,
  608281864034267560872252163321295376887552831379210240000000000,
  30414093201713378043612608166064768844377641568960512000000000000,
  1551118753287382280224243016469303211063259720016986112000000000000,
  80658175170943878571660636856403766975289505440883277824000000000000,
  4274883284060025564298013753389399649690343788366813724672000000000000,
  230843697339241380472092742683027581083278564571807941132288000000000000,
  12696403353658275925965100847566516959580321051449436762275840000000000000,
  710998587804863451854045647463724949736497978881168458687447040000000000000,
  40526919504877216755680601905432322134980384796226602145184481280000000000000,
  2350561331282878571829474910515074683828862318181142924420699914240000000000000,
  138683118545689835737939019720389406345902876772687432540821294940160000000000000,
  8320987112741390144276341183223364380754172606361245952449277696409600000000000000,
  507580213877224798800856812176625227226004528988036003099405939480985600000000000000,
  31469973260387937525653122354950764088012280797258232192163168247821107200000000000000,
  1982608315404440064116146708361898137544773690227268628106279599612729753600000000000000,
  126886932185884164103433389335161480802865516174545192198801894375214704230400000000000000,
  8247650592082470666723170306785496252186258551345437492922123134388955774976000000000000000,
  544344939077443064003729240247842752644293064388798874532860126869671081148416000000000000000,
  36471110918188685288249859096605464427167635314049524593701628500267962436943872000000000000000,
  2480035542436830599600990418569171581047399201355367672371710738018221445712183296000000000000000,
  171122452428141311372468338881272839092270544893520369393648040923257279754140647424000000000000000,
  11978571669969891796072783721689098736458938142546425857555362864628009582789845319680000000000000000,
  850478588567862317521167644239926010288584608120796235886430763388588680378079017697280000000000000000,
  61234458376886086861524070385274672740778091784697328983823014963978384987221689274204160000000000000000,
  4470115461512684340891257138125051110076800700282905015819080092370422104067183317016903680000000000000000,
  330788544151938641225953028221253782145683251820934971170611926835411235700971565459250872320000000000000000,
  24809140811395398091946477116594033660926243886570122837795894512655842677572867409443815424000000000000000000,
  1885494701666050254987932260861146558230394535379329335672487982961844043495537923117729972224000000000000000000,
  145183092028285869634070784086308284983740379224208358846781574688061991349156420080065207861248000000000000000000,
  11324281178206297831457521158732046228731749579488251990048962825668835325234200766245086213177344000000000000000000,
  894618213078297528685144171539831652069808216779571907213868063227837990693501860533361810841010176000000000000000000,
  71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000,
  5797126020747367985879734231578109105412357244731625958745865049716390179693892056256184534249745940480000000000000000000,
  475364333701284174842138206989404946643813294067993328617160934076743994734899148613007131808479167119360000000000000000000,
  39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000,
  3314240134565353266999387579130131288000666286242049487118846032383059131291716864129885722968716753156177920000000000000000000,
  281710411438055027694947944226061159480056634330574206405101912752560026159795933451040286452340924018275123200000000000000000000,
  24227095383672732381765523203441259715284870552429381750838764496720162249742450276789464634901319465571660595200000000000000000000,
  2107757298379527717213600518699389595229783738061356212322972511214654115727593174080683423236414793504734471782400000000000000000000,
  185482642257398439114796845645546284380220968949399346684421580986889562184028199319100141244804501828416633516851200000000000000000000,
  16507955160908461081216919262453619309839666236496541854913520707833171034378509739399912570787600662729080382999756800000000000000000000,
  1485715964481761497309522733620825737885569961284688766942216863704985393094065876545992131370884059645617234469978112000000000000000000000,
  135200152767840296255166568759495142147586866476906677791741734597153670771559994765685283954750449427751168336768008192000000000000000000000,
  12438414054641307255475324325873553077577991715875414356840239582938137710983519518443046123837041347353107486982656753664000000000000000000000,
  1156772507081641574759205162306240436214753229576413535186142281213246807121467315215203289516844845303838996289387078090752000000000000000000000,
  108736615665674308027365285256786601004186803580182872307497374434045199869417927630229109214583415458560865651202385340530688000000000000000000000,
  10329978488239059262599702099394727095397746340117372869212250571234293987594703124871765375385424468563282236864226607350415360000000000000000000000,
  991677934870949689209571401541893801158183648651267795444376054838492222809091499987689476037000748982075094738965754305639874560000000000000000000000,
  96192759682482119853328425949563698712343813919172976158104477319333745612481875498805879175589072651261284189679678167647067832320000000000000000000000,
  9426890448883247745626185743057242473809693764078951663494238777294707070023223798882976159207729119823605850588608460429412647567360000000000000000000000,
  933262154439441526816992388562667004907159682643816214685929638952175999932299156089414639761565182862536979208272237582511852109168640000000000000000000000,
  93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000
];

const f: number[] = [],
  fd: number[] = [];

export function factorial(n: number): number {
  if (n <= 100) {
    return Factorials[n];
  }
  if (f[n] > 0) {
    return f[n];
  }
  return (f[n] = factorial(n - 1) * n);
}

export function factorialDouble(n: number): number {
  if (n === 1 || n === 0) {
    return 1;
  }
  if (n === 2) {
    return 2;
  }
  if (fd[n] > 0) {
    return fd[n];
  }
  return (fd[n] = factorialDouble(n - 2) * n);
}
